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| -rw-r--r-- | mindmap/Heaviside Step Function.org | 10 |
1 files changed, 4 insertions, 6 deletions
diff --git a/mindmap/Heaviside Step Function.org b/mindmap/Heaviside Step Function.org index 3a2085c..8e21a84 100644 --- a/mindmap/Heaviside Step Function.org +++ b/mindmap/Heaviside Step Function.org @@ -10,18 +10,16 @@ * Introduction the Heaviside Step Function $H(t)$ is an important function in signal analysis. It is defined as follows: \begin{align} -\label{} -H(t) = -\[ \left\{ +H(t) = +\left\{ \begin{array}{ll} 0 & t \leq 0 \\ 1 & t > 0 \end{array} -\right. \] +\right. \end{align} and it is related to the [[id:90574fea-88f4-4b80-9cda-32cff0bcb76d][dirac delta]] distribution by taking a [[id:31d3944a-cddc-496c-89a3-67a56e821de3][derivative]]: \begin{align} -\label{} -\frac{dH}{dt} = \delta(t) +\delta(t) = \frac{dH}{dt} \end{align} Note that this definition of the derivative may be different than that of the regular derivative definition. |